Topics in algebraic geometry

Mathematics – Algebraic Geometry

Scientific paper

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81 pages

Scientific paper

Lecture notes of an algebraic geometry graduate course. The topics covered
are as follows. Cohomology: ext sheaves and groups, cohomology with support,
local cohomology, local duality. Duality: relative duality, Cohen-Macaulay
schemes. Morphisms of schemes: flatness and base change and related topics.
Hilbert and Quotient schemes.

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